# Divisible by this year??? (Part 2: Factorials)

$$n!$$ or $$n$$-factorial is the product of all integers from $$1$$ up to $$n$$ $$(n! = 1 \times 2 \times 3 \times ... \times n)$$. Find the maximum integral value of $$k$$ such that $$2014^k$$ divides $$2014!$$

You may also try this problem: Divisible by this year???

This problem is part of the set "Symphony"

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